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Interpolation of completely monotone functions

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Abstract

Intervals in which Lagrange interpolation polynomials converge pointwise to the interpolated function are specified for a family of functions comprising all completely monotone functions.

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References

  1. Feller, W.: On Müntz' theorem and completely monotone functions. Amer. Math. Monthly75, 342–350 (1968).

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Authors and Affiliations

  1. School of Mathematical Sciences, The Flinders University of South Australia, 5042, Bedford Park, S.A., Australia

    Miloslav Jirina

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  1. Miloslav Jirina
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Jirina, M. Interpolation of completely monotone functions. Monatshefte für Mathematik 94, 103–107 (1982). https://doi.org/10.1007/BF01301928

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  • DOI: https://doi.org/10.1007/BF01301928

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